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Matching and Distinct Representatives

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Lessons in Enumerative Combinatorics

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 290))

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Abstract

The material presented here really concerns n × m binary matrices [a i,j], i.e., matrices whose entries are all zeros or ones. However, several different interpretations of such matrices are useful for the applications as well as for a better understanding of the proofs.

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References

  1. Ford, L.R. Jr., Fulkerson, D.R.: Flows in Networks. Princeton University Press, Princeton (1962)

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  2. Hall, P.: On representatives of subsets. J. Lond. Math. Soc. 10, 26–30 (1935)

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  3. Ryser, H. J.: Combinatorial mathematics. M. A. A. Carus math. monographs, No. 14. Wiley, New York (1963)

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Eğecioğlu, Ö., Garsia, A.M. (2021). Matching and Distinct Representatives. In: Lessons in Enumerative Combinatorics. Graduate Texts in Mathematics, vol 290. Springer, Cham. https://doi.org/10.1007/978-3-030-71250-1_9

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